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The perimeter generating function of punctured staircase polygons
release_tnxf2x3nobctnium3zyiirj4tu
by
Anthony J. Guttmann, Iwan Jensen
Released
as a article
.
2006
Abstract
Using a simple transfer matrix approach we have derived very long series
expansions for the perimeter generating function of punctured staircase
polygons (staircase polygons with a single internal staircase hole). We find
that all the terms in the generating function can be reproduced from a linear
Fuchsian differential equation of order 8. We perform an analysis of the
properties of the differential equation.
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